416145465000 has 640 divisors, whose sum is σ = 1539519696000. Its totient is φ = 103758336000.

The previous prime is 416145464957. The next prime is 416145465007. The reversal of 416145465000 is 564541614.

416145465000 is a `hidden beast` number, since 4 + 1 + 6 + 145 + 4 + 6 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (416145465007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 410804494 + ... + 410805506.

It is an arithmetic number, because the mean of its divisors is an integer number (2405499525).

Almost surely, 2^416145465000 is an apocalyptic number.

416145465000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416145465000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769759848000).

416145465000 is an abundant number, since it is smaller than the sum of its proper divisors (1123374231000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

416145465000 is a wasteful number, since it uses less digits than its factorization.

416145465000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 416145465000 in words is "four hundred sixteen billion, one hundred forty-five million, four hundred sixty-five thousand".